What is the Greatest Common Factor of 564 and 581?
Greatest common factor (GCF) of 564 and 581 is 1.
GCF(564,581) = 1
We will now calculate the prime factors of 564 and 581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 564 and 581.
How to find the GCF of 564 and 581?
We will first find the prime factorization of 564 and 581. After we will calculate the factors of 564 and 581 and find the biggest common factor number .
Step-1: Prime Factorization of 564
Prime factors of 564 are 2, 3, 47. Prime factorization of 564 in exponential form is:
564 = 22 × 31 × 471
Step-2: Prime Factorization of 581
Prime factors of 581 are 7, 83. Prime factorization of 581 in exponential form is:
581 = 71 × 831
Step-3: Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282
Step-4: Factors of 581
List of positive integer factors of 581 that divides 564 without a remainder.
1, 7, 83
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 564 and 581. The biggest common factor number is the GCF number.
So the greatest common factor 564 and 581 is 1.
Also check out the Least Common Multiple of 564 and 581
Related Greatest Common Factors of 564
- GCF of 564 and 568
- GCF of 564 and 569
- GCF of 564 and 570
- GCF of 564 and 571
- GCF of 564 and 572
- GCF of 564 and 573
- GCF of 564 and 574
- GCF of 564 and 575
- GCF of 564 and 576
- GCF of 564 and 577
- GCF of 564 and 578
- GCF of 564 and 579
- GCF of 564 and 580
- GCF of 564 and 581
- GCF of 564 and 582
- GCF of 564 and 583
- GCF of 564 and 584
Related Greatest Common Factors of 581
- GCF of 581 and 585
- GCF of 581 and 586
- GCF of 581 and 587
- GCF of 581 and 588
- GCF of 581 and 589
- GCF of 581 and 590
- GCF of 581 and 591
- GCF of 581 and 592
- GCF of 581 and 593
- GCF of 581 and 594
- GCF of 581 and 595
- GCF of 581 and 596
- GCF of 581 and 597
- GCF of 581 and 598
- GCF of 581 and 599
- GCF of 581 and 600
- GCF of 581 and 601